Home
Class 12
MATHS
Evaluate lim(xtooo) (sinx)/(x)....

Evaluate `lim_(xtooo) (sinx)/(x).`

Text Solution

Verified by Experts

We have `underset(xtooo)lim(sinx)/(x)`
Since infinity is not a fixed number, when `xtooo,sin(oo)` takes any value betwwn -1 to 1, which is finite. So, we have finite value divided by infinity. So, ratio approaches to zero.
`:." "underset(xtooo)lim(sinx)/(x)=0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE PUBLICATION|Exercise Solved Examples|15 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.1|10 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE PUBLICATION|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xtooo) (3^(sinx)+2x+1)/(sinx-sqrt(x^(2)+1)).

Evaluate lim_(xto0) (sinx-x)/(x^(3)).

Evaluate lim_(xtooo)(1+2/x)^(x)

Evaluate lim_(xtooo) (log_(e)x)/(x)

Evaluate ("lim")_(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

Evaluate: lim_(x->oo) (x+7sinx)/(-2x+13)

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

Evaluate lim_(xtooo) (sqrt(25x^(2)-3x)+5x).

Evaluate lim_(xtooo) ((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-2))

Evaluate lim_(xto0) {(sinx-x+(x^(3))/(6))/(x^(5))}.